Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2001.tde-19042014-222336
Document
Author
Full name
Josué Macario de Figueirêdo Rocha
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2001
Supervisor
Committee
Machado, Fabio Prates (President)
Guiol, Herve Jean Francois
Popov, Serguei
Title in Portuguese
Passeio aleatório unidimensional com ramificação em um meio aleatório K-periódico
Keywords in Portuguese
Meio Aleatório
Passeio Aleatório
Passeio Aleatório com Ramificação
Processos Estocásticos
Recorrência e Transiência.
Abstract in Portuguese
Neste trabalho estudamos um passeio aleatório, unidimensional com ramificação em Z+ em um meio aleatório não identicamente distribuÃdo. Definimos recorrência e transiência para este processo e apresentamos um critério de classificação.
Title in English
One-dimensional random walk with branching in a random k-periodic enviroment.
Keywords in English
Random Enviroment
Random Walk
Random Walk with branching
Recurrence and transience.
Stochastic Processes
Abstract in English
We study a "supercritical" branching random walk on Z+ in a one-dimensional non i.i.d. random environment, which considers both the branching mechanism and the step transition. Criteria of (strong) recurrence and transience are presented for this model.
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Publishing Date
2014-04-23